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Finding the Third Proportional to 82,253 and 176,983

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Solution

The third proportional to 82,253 and 176,983 is: 380,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253 : 176,983 = 176,983 : x
  2. Step 2: Convert to fraction form
    82,253/176,983 = 176,983/x
  3. Step 3: Cross multiply
    82,253x = 176,983 × 176,983
  4. Step 4: Simplify right side
    82,253x = 31,322,982,289
  5. Step 5: Solve for x
    x = 31,322,982,289/82,253
  6. Step 6: Final answer
    x = 380,812.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.